R is perpendicular to U. S is parallel to T. m <1 = 39° . Find the remaining angles.
Answers
First, notice that angle 1 and angle 4 are vertical angles, therefore:
[tex]\measuredangle1=39\text{ = }\measuredangle4[/tex]then, we have that angle 1 and angle 2 are supplemetary angles, then:
[tex]\begin{gathered} \measuredangle1+\measuredangle2=180 \\ \Rightarrow\measuredangle2=180-\measuredangle1=180-39=141 \\ \measuredangle2=141 \end{gathered}[/tex]Since angle 3 and angle 2 are vertical, we have the first measures of the diagram:
[tex]\begin{gathered} \measuredangle1=39 \\ \measuredangle2=141 \\ \measuredangle3=141 \\ \measuredangle4=39 \end{gathered}[/tex]Then, angle 1 and angle 5 are corresponding angles, then, we have the following:
[tex]\measuredangle1=39=\measuredangle5[/tex]Now, angle 5 and angle 6 are complementary angles, therefore:
[tex]\begin{gathered} \measuredangle5+\measuredangle6=90 \\ \Rightarrow\measuredangle6=90-\measuredangle5=90-39=51 \\ \measuredangle6=51 \end{gathered}[/tex]Angle 5 is vertical with angle 7, and angle 6 is vertical with angle 8. Also, we can see that angle 9 is a right angle, then, we have the next measures:
[tex]\begin{gathered} \measuredangle5=39 \\ \measuredangle6=51 \\ \measuredangle7=39 \\ \measuredangle8=51 \\ \measuredangle9=90 \end{gathered}[/tex]Finally, notice that angles 4, 9 and 10 are the angles of a right triangle, then, we would have the following:
[tex]\begin{gathered} \measuredangle4+\measuredangle9+\measuredangle10=180 \\ \Rightarrow\measuredangle10=180-\measuredangle9-\measuredangle4=180-90-39=51 \\ \measuredangle10=51 \end{gathered}[/tex]then, angle 10 and angle 11 are supplemetary, then:
[tex]\begin{gathered} \measuredangle10+\measuredangle11=180 \\ \Rightarrow\measuredangle11=180-\measuredangle10=180-51=129 \\ \measuredangle11=129 \end{gathered}[/tex]angle 10 is vertical with angle 13 and angle 11 is vertical with angle 12, then:
[tex]\begin{gathered} \measuredangle10=51 \\ \measuredangle11=129 \\ \measuredangle12=129 \\ \measuredangle13=51 \end{gathered}[/tex]Related Questions
Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include the terms, "greater than", "greater than or equal to", "less than", or "less than or equal to".
Answers
Solution:
Given the expression:
[tex]-3<0[/tex]In verbal statement, we can conclude that:
negative three is less than zero.
The third option is the correct answer.
what is fact that is less than 0.1
Answers
Answer:
0.09, Because we have the tenths, hundredths, and thousandths with possible others.
Which are the better statistics to use to compare the team scores?27Team A's scoresHO27 29 31 33 35 37 39 41Team B's scoresHhi2931 3335 37 39 4143 4543 45
Answers
A. Median and I
1) When we have to face questions like these in which there are two boxplots, we can compare the medians to locate the middle number of each distribution.
Team A's scores' median: 33
Team B's scores' median: 31
2) The next item to check is the dispersion of the data, so we'll resort to the Interquartile Range.
3) Thus, the answer is A
Points A,B,C are collinear points where B is between A and C. if AC = 22, AB =10. find BC
Answers
ANSWER
[tex]BC=12[/tex]EXPLANATION
First, let us make a sketch of the three points:
As we can see, AC is made up of AB and BC.
This means that the length of AC is the sum of the lengths of AB and BC.
That is:
[tex]\begin{gathered} AC=AB+BC \\ \Rightarrow BC=AC-AB \\ BC=22-10 \\ BC=12 \end{gathered}[/tex]The value of BC is 12.
A rectangular shaped parking lot is to have a perimeter of 656 yards if the width must be 82 yards because of a building code what will the length need to be
Answers
The length of the rectangular shaped parking lot will be: 246 yards.
What is the Perimeter of a Rectangular Shape?A rectangular shape has a width and a length. The perimeter of the rectangular shape is simply the sum of all its width and its length. The formula for the perimeter of the rectangular shape would therefore be:
Perimeter = 2(length + width).
Given the following:
Perimeter of the rectangular shaped parking lot = 656 yards
Width of the rectangular shaped parking lot = 82 yards
Length = x = ?
Plug in the values into the perimeter formula for a rectangular shape:
2(x + 82) = 656
Divide both sides by 2
2(x + 82)/2 = 656/2
x + 82 = 328
x + 82 - 82 = 328 - 82
x = 246
Length would need to be 246 yards.
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During a sleepover, Jayden played karaoke with her friends. Her song was 5 minutes long. She had already sung for 2 minutes. Which equation could be used to see how much longer she will have to sing?
x + 2 = 5
x + 3 = 5
x − 2 = 5
x + 2 = 7
Answers
Answer:
A or #1: x+2=5
Step-by-step explanation:
There is an unknown amount of minutes left to sing, and we already know that she has sung for 2 minutes. so x+2. And we know that she is singing a 5 min. song, so the unknown value plus the 2 minutes we know she has already sung should add up to 5 mins.. So x+2=5 would be the correct answer.
Question 1-13
The table below shows the high temperatures for Barrow, Alaska, for three days.
High Temperatures for Barrow, AK
Temperature (°F)
-14
-10
-3
Based on the data in the table, which statement about the temperatures is correct?
Day
Monday
Tuesday
Wednesday
O
Monday was the warmest day because | -14° is farther from zero than | -3°| or
| -10°.
O Wednesday was colder than Monday because | -3° is closer to zero than | -14°.
O Tuesday was colder than Wednesday because | -10° is farther from zero than | -3°|.
O Tuesday was warmer than Wednesday because | -10° is closer to zero than | -3°.
Answers
Third option is correct, Tuesday was colder than Wednesday because -10° is farther from zero than -3°.
What is inequality?Inequality is used to compare between two values. The signs of inequality are [tex]>[/tex], [tex]<[/tex], [tex]\geq[/tex], [tex]\leq[/tex]
< is used to check whether one value is less than other value or not
> is used to check whether one value is greater than other value or not
[tex]\leq[/tex] is used to check whether one value is less than or equal to other value or not
[tex]\geq[/tex] is used to check whether one value is greater than or equal to other value or not
Temperature on monday = -14
Temperature on Tuesday = -10
Temperature on Wednesday = -3
-14 < -10 < -3
So Monday was the coldest day
Tuesday was warmer than monday but colder than wednesday
Wednesday was the warmest day.
As -10° is farther from zero than -3°, Tuesday was colder than Wednesday.
So third option is correct
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Determine the value of b.
b3 = 125
b = 41.7
b = ±41.7
b = 5
b = ±5
Answers
Answer:
b^3 = 5
Step-by-step explanation:
b^3 = 125
cube root of b^3 = cube root of 125
the cube root of 125 is 5
-5 is not an equivalent solution (-5)(-5)(-5) =/ (not equal to) 125
so b=5
remember ± means if -5 and 5 are equal to 125, in this case it is not...so its just 5.
I hope I explained this well!
The value of b for the expression b³ = 125 is 5.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
b³ = 125
Cube root on both sides.
b = ∛125
b = 5
We can not use -5 because.
-5 x -5 x -5 = -125
This is not possible
Thus,
The value of b is 5.
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James counts down in 9's starting from 345 until he passes zero. Which will be the last
positive number which he counts?
Answers
Answer:
3
i worked it out the hard way
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
The population of a small town increased from 25,056 people in 2000 to 36,720 and 2010 what is the percentage change in the population?
Answers
How do you write 1.5 × 10^2 in standard form?
Answers
Answer: 1.5 x 10 x 10 (I think)
Step-by-step explanation:
10^2 = 10 x 10
1.5 x 10 x 10
Which function has the greatest y-intercept?Group of answer choicesf(x)g(x)h(x)All three functions have the same y-intercept.
Answers
Three functions are given. It is required to find the greatest y-intercept of the three functions.
To do this, find the y-intercept of each function and check which of them has the greatest value.
The given equation for f(x) is:
[tex]f(x)=-3x-5[/tex]Notice that this is a linear function in the slope-intercept form, y=mx+c.
Where m is the slope and c is the y-intercept.
Compare to the given equation; it follows that the y-intercept of f(x) is c=-5.
The y-intercept of f(x) is -5.
The graph of g(x) is given.
Recall that the y-intercept is the point where the graph of a function intersects the y axis.
Hence, the y-intercept of g(x) is -3.
The equation for h(x) is:
[tex]h(x)=2\cos\left(2x-\pi\right)+4[/tex]To find the y-intercept, substitute x=0 into the equation:
[tex]\begin{gathered} h(0)=2\cos\left(2(0)-\pi\right)+4 \\ \Rightarrow h(0)=2\cos\left(0-\pi\right)+4=2\cos(-\pi\rparen+4 \\ \Rightarrow h(0)=2(-1)+4=-2+4=2 \end{gathered}[/tex]Hence, the y-intercept of h(x) is 2.
It follows that h(x) has the greatest y-intercept.
Jordan borrowed some money from his friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Jordan originally borrowed $120 from his friend and after 2 weeks he still owed his friend $90. Write and equation for L in terms of T representing the amount Jordan owes his friend after t weeks
Answers
2 to the negative fifth power
Answers
Answer: 0.03125
Step-by-step explanation:
Answer:
.03125
Step-by-step explanation:
2^-5 = 1 / 2^5 = 1/32 = .03125
Open Response Respond to the following question using pictures, numbers, and complete sentences! 2 points 2 - The response shows a complete understanding of the concept or task, logical reasoning and conclusions, and correa set up and/or computations. The response contains minor flaws in reasoning, neglects to address some uspect of the task, or contains a computational error. 0 - The response indicates no mathematical understanding of the concept or task, or if a student fails to respond to the item. 1 Front and back section tickets are available to a performance. Front section tickets are $45 and back section tickets are $25. There are 18 rows with 39 seats in each row in the front section, and 27 rows with 4 seats in each row in the back section. If of all the front row seats and 7 of all the back row seats are sold, how much is the total ticket sales. Show your work.
Answers
We have two sections tickets Front and Back, the information we have is:
Front section:
• Ticket price: $45
,• Seats: 18 rows with 39 seats each one: 18*39=702 seats
,• Seats sold: 5/6 of total seats: 5/6*702=585 seats.
Back section:
• Ticket price: $25
,• Seats: 27 rows with 4 seats each one: 27*4=108 seats
,• Seats sold: 7/9 of total seats: 7/9*108=84 seats
The total ticket sales is:
[tex]undefined[/tex]Select all the epressions tha repersent the total area of a rectangle
options:
5( a+b)
5+ab
5a+5b
2(5+a+b)
(5ab)
Answers
The total area of a rectangle is 5 (a+b) i.e., option a is correct.
The area of a rectangle:
The area of a rectangle is the product of length and breadth.
Area of rectangle = length × breadth
Here the length = a + b
height = 5
So area of a rectangle = (a+ b) × 5
= 5(a+b)
Therefore the area of a rectangle is 5(a + b).
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Which of the following is a Pythagorean Triple?
A 2,3,4
B 5,6,7
C 3,4,5
D 8, 16, 17
Answers
Answer:
C) 3, 4, 5
Step-by-step explanation:
The rule for Pythagorean Triple is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
3, 4, 5 is one of the most commonly known triple and it proves the triple rule since
[tex] { 3}^{2} + {4}^{2} = {5}^{2} [/tex]
what is the image point of (3,9) after a translation right 3 units and up 1 unit.
WILL GIVE BRAINLIEST IF U GET IT RIGHT
Answers
Answer:
4,6
Step-by-step explanation:
Answer:
The answer would be (6, 10).
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answers
y={4x+2, if x < -4 } {2x-6, if x>= -4 }Graph the piecewise function.
Answers
For values of x less than -4 , the function is
y= 4x+ 2 ( not including -4)
y=mx+b
Where:
m= slope (rise / run)
b= y-intercep ( where the line crosses the y axis)
For values of x greater or equal to -4, the function is y=2x-6
I need to know if it’s A, B, COr D
Answers
Answer:
The congruence statement that is true among the options is;
[tex]JK\cong LM[/tex]
Explanation:
Given the figure in the attached image.
The chords JK and LM are equidistant from the center V of the circle.
Shown by AV and CV.
Since;
[tex]AV\cong CV[/tex]Then applying the equidistant chord theorem.
This states that two chords are congruent if and only if they are equidistant from the center of the circle;
So, since;
[tex]AV\cong CV[/tex]Then;
[tex]JK\cong LM[/tex]Therefore, the congruence statement that is true among the options is;
[tex]JK\cong LM[/tex]
help me pleasee!!
thank you
Answers
Answer:
what she does (annoy, annoys) me a lot
I need to see which ones are translations,dilations,reflections and I forgot the other one
Answers
option A and option C are dilation.
Option B and option D are translation.
No reflection.
Can someone help me with these probability questions it’s only a two parter?
Answers
Given:
The number of players on the basketball = 14 players.
The number of juniors =6 players.
The number of seniors = 8 players.
Coach Banet decided to choose three players.
Required:
A. We need to find different orders of the top three finishers.
B. We need to find the probability that the top three finishers will all be seniors.
Explanation:
A.
There is not important to choose in the order which players are the top three finishers.
Use combinations.
The number of students, n=14.
The number of the top three finishers, r =3.
[tex]nC_r=14C_3[/tex][tex]=\frac{14!}{3!(14-3)!}[/tex][tex]=\frac{14!}{3!\cdot11!}[/tex][tex]=364[/tex]Answer:
[tex]nC_r=\frac{14!}{3!\cdot11!}=364[/tex]B.
The number of seniors = 8 players.
The number of top-finishers =3.
[tex]8C_3=\frac{8!}{3!(8-3)!}=\frac{8!}{3!\cdot5!}=56[/tex]There are 56 different orders of top finishers that include all seniors.
[tex]The\text{ possible outcome=}14C_3[/tex][tex]T\text{he favorable outcome =}8C_3[/tex]The probability that the top three finishers will all be seniors.
[tex]P=\frac{8C_3}{14C_3}[/tex][tex]Use\text{ }14C_3=364,\text{ and }8C_3=56.[/tex][tex]P=\frac{56}{364}[/tex][tex]P=0.1538[/tex]Multiply by 100 to get a percentage.
[tex]P\text{ \%}=0.1538\times100[/tex][tex]P\text{ \%}=15.38\text{ \%}[/tex][tex]P\text{ \%}=15.4\text{ \%}[/tex]Answer:
There are 56 different orders of top finishers that include all seniors.
The probability that the top three finishers will all be seniors is 15.4 %
1)
B)
The number of juniors = 6 players.
The number of players in the group =3.
There is not important to choose in the order which players are selecting.
Use combinations.
[tex]6C_3=\frac{6!}{3!(6-3)!}=\frac{6!}{3!\cdot3!}=20[/tex]Answer:
Two terms represent the number of players that are all juniors.
[tex]6C_3\text{ }and\text{ }20[/tex]shnshshshshshwhwhwhwhw
Answers
Question:
Solution:
Consider the following system of equations:
[tex]y=x^2-3x-8[/tex][tex]y\text{ = 3x+8}[/tex]then, the above system of the equation has a solution if both equations are equal, that is:
[tex]x^2-3x-8\text{ = 3x+8}[/tex]this is equivalent to say:
[tex]x^2-3x\text{ + 3x -8 +8 = 0}[/tex]this is equivalent to:
[tex]x^2\text{ = 0}[/tex]then
[tex]x\text{ = 0}[/tex]now, replacing the above value in the second equation, we obtain:
[tex]y\text{ = 3(0)+8}=\text{ 0+8 = 8}[/tex]thus:
[tex]y\text{ = 8}[/tex]then, we can conclude that the correct answer is:
[tex]x\text{ = 0 }[/tex]and
[tex]y\text{ = 8}[/tex]that is 0 and 8.i need help with this
Answers
Answer:
18084, 180968Step-by-step explanation:
You want to find the value of x, given that supplementary angles are 83° and (12x+1)°.
Step 1The two angles shown are supplementary, so their sum is 180°:
[tex]83^\circ+(12x+1)^\circ=\boxed{180}^\circ[/tex]
Step 2Simplifying the expression by combining like terms and dividing by °, we have ...
[tex]12x +\boxed{84}=\boxed{180}[/tex]
Step 3Subtracting 84 from both sides gives ...
[tex]12x=\boxed{96}[/tex]
Step 4Dividing both sides by 12, we get ...
[tex]x=\boxed{8}[/tex]
Graph the approximate value of √15
_______ __________________________________
3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0
is the √15 rational or irrational
Is the point you graphed an estimated or exact answer? Explain why
PLS HELP
Answers
Answer:
It is irrational
Step-by-step explanation:
√15=3.8•••
Bobby delivered 9/10 of the mail. How much more mail does Bobby have to deliver?
a.2/10
b.1/10
c.10/10
d.9/10
Answers
The amount of mail that is remaining for Bobby to deliver is = 1/10.
What is fraction?Fraction is defined as the representation that shows part of an expression which is usually represented by a numerator and a denominator.
The numerator is usually located above the division line while the denominator is located below the division line.
From the given value for the number of mails delivered which is = 9/10. This shows that out of 10 mails only 9 has been delivered remaining 1 mail.
Therefore, 1/10 of the mail is yet to be delivered.
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If families consumed apples and granola bars at constant rates, which food had the higher unit rate per hour? Write an equation that represents the rate apples were consumed per minute Write an equation that represents the rate granola bars were consumed per minuteEnter the equation in y=mx format
Answers
Answer:
• Apples: y=1/6x
,• Granola bars: y=1/5x
Explanation:
Apples
First, we calculate the unit rate for the consumption of apples.
Using the points (0,0) and (12,2):
[tex]\begin{gathered} \text{Unit Rate=}\frac{2-0}{12-0} \\ =\frac{2}{12} \\ =\frac{1}{6} \end{gathered}[/tex]Therefore, an equation that represents the rate apples were consumed per minute is:
[tex]y=\frac{1}{6}x[/tex]Granola Bars
We calculate the unit rate for the consumption of granola bars.
Using the points (0,0) and (60,12):
[tex]\begin{gathered} \text{Unit Rate=}\frac{12-0}{60-0} \\ =\frac{12}{60} \\ =\frac{1}{5} \end{gathered}[/tex]Therefore, an equation that represents the rate apples were consumed per minute is:
[tex]y=\frac{1}{5}x[/tex]A side of the triangle below has been extended to form an exterior angle of 135°. Find the value of xx.
Answers
For the given measures of exterior angle and angles in a triangle , the unknown measure of angle x is equal to 23°.
As given in the question,
In a given triangle,
Measure of exterior angle is equal to 135°
Exterior angle +Adjacent interior angle = 180°
⇒ 135° + Adjacent interior angle = 180°
⇒ Adjacent interior angle = 180° -135°
⇒ Adjacent interior angle = 45°
In a triangle,
Sum of opposite interior angles = Measure of exterior angle
⇒ x° + 112° = 135°
⇒ x° = 135° -112°
⇒ x° = 23°
Therefore, for the given measures of exterior angle and angles in a triangle , the unknown measure of angle x is equal to 23°.
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